Given numbers are 460,283,915

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 460,283,915 is 23822940.

Find LCM of 460,283,915 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

5 x 92 x 283 x 183 = 23822940

Therefore, the lowest common multiple of 460,283,915 is 23822940.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

460 x 283 x 915 = 119114700

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

283 : 1, 283

915 : 1, 3, 5, 15, 61, 183, 305, 915

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,283,915, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

283:283

915:3x 5x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5 = 5

Therefore, the value for common factors is 5.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 119114700/(1x5)

LCM = 119114700/5

LCM = 23822940

Thus, we can understand that the LCM of 460,283,915 is 23822940.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 170, 137, 905
• LCM of 301, 901, 773
• LCM of 810, 780, 870
• LCM of 937, 590, 694
• LCM of 870, 833, 219

1. What is the LCM of 460, 283, 915?

Answer: LCM of 460, 283, 915 is 23822940.

2. How to calculate the LCM of 460, 283, 915?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 460, 283, 915.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.